What is the Greatest Common Factor of 69329 and 69344?

Greatest common factor (GCF) of 69329 and 69344 is 1.

GCF(69329,69344) = 1

We will now calculate the prime factors of 69329 and 69344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69329 and 69344.

How to find the GCF of 69329 and 69344?

We will first find the prime factorization of 69329 and 69344. After we will calculate the factors of 69329 and 69344 and find the biggest common factor number .

Step-1: Prime Factorization of 69329

Prime factors of 69329 are 13, 5333. Prime factorization of 69329 in exponential form is:

69329 = 13¹ × 5333¹

Step-2: Prime Factorization of 69344

Prime factors of 69344 are 2, 11, 197. Prime factorization of 69344 in exponential form is:

69344 = 2⁵ × 11¹ × 197¹

Step-3: Factors of 69329

List of positive integer factors of 69329 that divides 69329 without a remainder.

1, 13, 5333

Step-4: Factors of 69344

List of positive integer factors of 69344 that divides 69329 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 197, 352, 394, 788, 1576, 2167, 3152, 4334, 6304, 8668, 17336, 34672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69329 and 69344. The biggest common factor number is the GCF number.
So the greatest common factor 69329 and 69344 is 1.

Also check out the Least Common Multiple of 69329 and 69344